Lemma A.2 (Concentration Lemma)[1]}: 
For a hypergeometric distribution \(P\)  with parameters \(k, m\)  and \(r\) ,
\(\sum _{i = 0}^{E - \sqrt{r}} P_{k,m,r}(i) &\le e^{-2}\\\sum _{i = E + \sqrt{r}}^{r} P_{k,m,r}(i) &\le e^{-2}\\\) 
